Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Time, Speed and Distance

Question:

A bus can travel 20% faster than a scooter. Both start from point Pat the same time, and reach point Q, 60 km away from point P, at the same time. On the way, however, the bus lost about 10 minutes while stopping at bus stations, while the scooter did not stop anywhere. What is the speed of the bus?

Options:

68 km/h

80 km/h

60 km/h

72 km/h

Correct Answer:

72 km/h

Explanation:

Let speed of Scooter = 5x

Then Speed of bus = 6x

Bus Stoppage time = 10 min

So , Bus runs only for 50 min

According to question ,

\(\frac{60}{5x}\) - \(\frac{60}{6x}\) = \(\frac{10}{60}\)

\(\frac{60x}{30x2}\) = \(\frac{10}{60}\)

\(\frac{60}{30x}\) = \(\frac{10}{60}\)

x = 12

so 6x = 72

So , Speed of bus = 72 km/h